Question
The marks obtained by 12 students out of a maximum of 30
in a test are given as 25, 28, 24, 22, 25, 18, 20, 22, 19, 23, 22, and 26. Find the sum of the modes of this set of data. ÂSolution
In the given data. given 25 in two times and 22 three times. So mode (maximum time) = 22 then the sum of modes = 22
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles?
What is the height of an equilateral triangle if each side measures 8√3 cm?
If two triangles XYZ and ABC are congruent, then which of the following statement(s) is/are true?
I. XY = AB
II. ∠X = ∠A
- In triangle XYZ, UV is drawn parallel to side YZ. If XU = 10 cm, UX = 6 cm, and XV = 15 cm, find XZ.
Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
- The base of a triangle is 14.8 cm, and the corresponding altitude is 20.2 cm. What is its area?
The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
- In triangle MNO, PQ is drawn parallel to side NO. If MP = 5 cm, PN = 10 cm and MQ = 6 cm, find MO.
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